On the structure of supersymmetric T3 fibrations

Abstract

We formulate some precise conjectures concerning the existence and structure of supersymmetric T3 fibrations of Calabi-Yau threefolds, and describe how these conjectural fibrations would give rise to the Strominger-Yau-Zaslow version of mirror symmetry.

arXiv commentminor corrections

References in corpus (8)

• Phases of $N=2$ Theories In Two Dimensions
• Dual Polyhedra and Mirror Symmetry for Calabi-Yau Hypersurfaces in Toric Varieties
• Mirror Symmetry, Mirror Map and Applications to Calabi-Yau Hypersurfaces
• Mirror Symmetry for Two Parameter Models -- II
• Mirror Symmetry, D-Branes and Counting Holomorphic Discs
• Disk Instantons, Mirror Symmetry and the Duality Web
• String Theory on K3 Surfaces
• Towards the Mirror Symmetry for Calabi-Yau Complete intersections in Gorenstein Toric Fano Varieties

Cited by in corpus (7)

• Mirror Symmetry for $G_2$-Manifolds: Twisted Connected Sums and Dual Tops
• A new construction of compact torsion-free $G_2$-manifolds by gluing families of Eguchi-Hanson spaces
• Brane Geometry and Dimer Models
• SCFTs, Holography, and Topological Strings
• A note on T-folds and T3 fibrations
• SYZ geometry for Calabi-Yau 3-folds: Taub-NUT and Ooguri-Vafa type metrics
• Special Lagrangian torus fibrations of complete intersection Calabi-Yau manifolds: a geometric conjecture